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Finding the Third Proportional to 9,809,429 and 21,118,036

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Solution

The third proportional to 9,809,429 and 21,118,036 is: 45,463,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809,429 : 21,118,036 = 21,118,036 : x
  2. Step 2: Convert to fraction form
    9,809,429/21,118,036 = 21,118,036/x
  3. Step 3: Cross multiply
    9,809,429x = 21,118,036 × 21,118,036
  4. Step 4: Simplify right side
    9,809,429x = 445,971,444,497,296
  5. Step 5: Solve for x
    x = 445,971,444,497,296/9,809,429
  6. Step 6: Final answer
    x = 45,463,547.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.